How to split a number into 10 different numbers?

How to split a number into 10 different numbers randomly? Such as 50390 separate it into 10 random different numbers?

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Do you mean that the sum of the 10 random numbers should be the original number? And should the numbers be positive, larger than zero, integers?

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Answers (3)

a = 50390;
b = rand(10,1);
b = b/sum(b)*a;
out=round(b);
out(1) = out(1) - (a-sum(out));
and with using Roger Stafford's idea
a = 50390;
n = 10;
out = diff([0,sort(randperm(a-1,n-1)),a]);
n=50390
idx=sort(randperm(n,10));
out=diff([idx n]);
out(1)=idx(1)+out(1);
sum(out)
%or in case the last number of idx is 50390
n=50390
idx=sort(randperm(n,10));
out=diff([idx n]);
out(end)=out(end)+idx(1)
sum(out)
Assuming all number should be positive integers larger than zero, this will give a random solution. Note that not all possible solutions are equally likely, but that might not be a problem.
S = 50390 % original number
n = 10 % partitions
f = rand(1,n)
f = f./ sum(f) % sum(f) = 1, approx.
V = round(f.*S)
V(V<1) = 1 % needs to be positive
V(1) = S - sum(V(2:end)) % deal with rounding errors etc.
isequal(sum(V),S) % check

Asked:

on 2 Dec 2013

Commented:

on 27 Oct 2019

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